If you are looking for specific "pieces" or historical records of the film on the Internet Archive, focus on these categories: 📰 Contemporary Reviews (2007) Search for: Archived snapshots of news sites like The Times of India from August 2007.
To find Chak De India on Archive.org:
Preserving the Goal: Exploring Chak De! India on Archive.org chak de india archive.org
Yash Raj Films has, in the past, released promotional material under Creative Commons or via archival uploads. You can find the original 2007 trailer in DVD quality, along with TV spots and behind-the-scenes featurettes that were part of press kits. If you are looking for specific "pieces" or